379345206900 has 72 divisors (see below), whose sum is σ = 1197351427104. Its totient is φ = 91962473600.

The previous prime is 379345206893. The next prime is 379345206917. The reversal of 379345206900 is 9602543973.

It is a happy number.

It is a super-2 number, since 2×379345206900² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 379345206900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57473247 + ... + 57479846.

It is an arithmetic number, because the mean of its divisors is an integer number (16629880932).

Almost surely, 2^379345206900 is an apocalyptic number.

379345206900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

379345206900 is an abundant number, since it is smaller than the sum of its proper divisors (818006220204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379345206900 is a wasteful number, since it uses less digits than its factorization.

379345206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114953121 (or 114953114 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 379345206900 in words is "three hundred seventy-nine billion, three hundred forty-five million, two hundred six thousand, nine hundred".